Q4. Find the asymptotes of the curve. y³ – 3xy² – x²y + 3x³ – 3x² + 10xy – 3y² – 10x – 10y + 7 = 0

Q: Consider 2 2.4 3 f(x) 0.8 5.5 Find the curve fitting y(x)- Ax + B

A: Let's Solve,

Q: nd the exact length of the curve. y = 3 1. 4x 1sxs2

A:

Q: 3n Q10:- Show that the point (2,) lies on the curve r=2sin 20. 4

A: 10) Given curve is r=2sin2θ show that (2,3π4) is a point lies on the curve

Q: 7. Find the exact length of the curve: y = 1 + 6x³/², 0 < x < 1.

A: The length of the curve is calculated from the graph.

Q: Find an equation of the form f(x)=b•a* +c that has the horizontal asymptotes at y = 350, y-intercept…

A: Please refer the attached image for complete solution. THANKYOU.

Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: The horizontal asymptotes of the curve 3x y = (x4 + 1)'/4 are given by %3D Y1 = and Y2 = where y1 >…

A:

Q: Find the x- coordinate of the inflection point(s) of the | .2* curve y = -7xr'+ 4x +10.

A:

Q: Pls help

A: We have to find the horizontal asymptote.

Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

A:

Q: Find the exact curve x = (y4/8) + (1/4y2), 1 ≤ y ≤ 2

A: First we find the graph of the function in the given region with the help of some points:   In the…

Q: 2. Find the slope of parabola y = ²+3 at any point on the curve.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find all the asymptotes of the curve 3x3 2x2y – 7xy? + 2y3 – 14xy+7y² + 4x + 5 = 0 ?

A:

Q: aph ea between the curve by y = x³ - 10x² + 16x and y = -x³ + 10x² - A B

A: using the graphing software plot the graph of the first equation y=-x3-10x2+16x

Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

A:

Q: Find the asymptotes of the curve y3+x2y+2xy2-y+1=0.

A:

Q: Q2. A car on a test track goes into a turn described by x= 20+ 0.2r, y 20t- 2r, where x and y are…

A: Any point in the cartesian coordinate system is represented by the coordinate pair x,y. The…

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

A:

Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: Find the exact length of the curve. 2. y = 3 x3/2 Osxs1

A:

Q: Q3) Find the local maximum and minimum points of the following curve: y = 3x + 2x? - 4x + 2

A:

Q: Q4. (a) Divide “a” into three parts such that their product is maximum.  (b) Find the asymptotes of…

A: (a) We have to divide a number a into three parts such that their product is maximum. (b) Find the…

Q: Find an equation of the form f(x)=b·a¯* +c __that has the horizontal 2. asymptotes at y = 350,…

A:

Q: Find the exact length of the curve.   y = 1+ 6x3/2 , 0 ≤ x ≤ 1

A: Find the exact length of the curve.

Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: For the curve y = ax3 + bx2 + 12x -7, what values of a and b will make the tangents to the curve at…

A: given  y=ax3+bx2+12x-7a=?b=?

Q: Find all possible oblique asymptotes

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: 4. that has the asymptotes x 7 and y = 6. Write an equation for the translation of y = 4 Oy=ー+7 -6 4…

A:

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x+ 12. O (-2-6) O (2.6) O (2. -6) O…

A:

Q: Find the horizontal and vertical asymptotes of the curve. 2ex y = ex – 6

A:

Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

A:

Q: B. 30. What is the vertical asymptote of the curve y = (3x - 4)/(2x +3)? C. x = -2/3 A. x= -3/2 B. x…

A: I have given the answer in the next step. Hope you understand that

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

Q: Q6. Find and classify the stationary points and the points of inflexion on the following curve. y =…

A: Stationary point of a differentiable one variable function: It is a point on the graph where…

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

A:

Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: y = x2-3 /2x-4    What is the oblique asymptote of curves

A: We have to first do partial fraction of the given function.

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

A:

Q: 6. Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t < 2

A: Here given  Differentiate the above function with respect to t

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: The curve x = t - 3t, y = Vt intersects the y-axis when x = 0, which occurs when t = 0 and t = y 3-…

A:

Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

A:

Q: find thearea f the reabn eying behueen the x-axis and the curve y= en (2x)-1 to the righte the ene…

A: We have to use integration by parts.

Q: Consider y = x2+3 /3e4x^2. Find the value of x at which this curve has a stationary point

A: Consider the given function.